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PIT_PIT [208]
3 years ago
14

How many numbers between 4000 and 5000 can be formed with the

Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer:

36 numbers

Step-by-step explanation:

Number of digits in a number between 4000 and 5000 = 4

_ _ _ _

First digit of the number will be filled by 4.

So, the number of ways to fill the first digit = 1

4 _ _ _

If the given number is divisible by 5 then the last digit should be 5.

4 _ _ 5

So, the number of ways that the last digit should be 5 is = 1

Remaining 2 digits between 4 and 5 can be filled by any number given.

Therefore, number of ways that second place can be filled = 6

Similarly, number of ways that the third place of the number can be filled = 6

Now total number of ways = 1 × 6 × 6 × 1

                                             = 36

Therefore, numbers between 4000 and 5000, divisible by 5 = 36

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